The correspondence relation between local maximum points and the stable equilibria of the gradient dynamical system x= (?)f(x) is applied to build up specific algorithms in computing algebraic roots, unconstrained maximum points, constrained maximum points, solutions of nonlinear programming, and least square solutions.
利用局部极大值点与动力系统的稳定奇点的对应性,计算代数方程的根、无约束极大值点、有约束极大值点、非线性规划解、及最小二乘解。
The Adjoint Element of BCI - algebras and the P-radical of BCI - algebras;
BCI-代数的伴随元与BCI-代数的根性
Root Systems of a Family of Indefinite Kac-Moody Algebras
一族不定型Kac-Moody代数的根系
The Generalized Vertex Algebras from Affine Lie Algebra with Short Roots;
有短根的仿射李代数的广义顶点代数
Iteration and Iterative Roots for Polygonal Functions and Multifunctions;
折线函数和集值函数的迭代与迭代根
root of an algebraic equation with rational coefficients.
含有有理系数的代数等式的根。
The Spectra and Radicals of Quaternion Algebra Z_n[i,j,k]
四元数代数Z_n[i,j,k]的素谱和根(英文)
A radical is an indicated root of an algebraic or arithmetic expression.
根式是一个代数或算术表达式的一个确定的根。
A radical is an indicated root of an algebraic expression.
根式是一个代数表达式的一个确定的根。
Relationship of P-radical and Nil-radical of Finite-dimensional Restricted Lie Algebra
有限维限制李代数P-根基和幂零根基的关系
A Numerical Method of The Algebraic Equation for The It’s Degree ≤ 6;
求次数≤6的代数方程根的一种数值计算方法
The Successor of Gttingen Algebra School──B.L.Van der Waerden;
格廷根代数学派的传人——范德瓦尔登
Homomorphisms and Ideals of Positive Incident Nil-Radical in BCI-ALgebras;
BCI-代数正关联零根的同态及理想
The adjoint representations of Hopf algebras with non-degenerate Killing form
Killing根非退化下Hopf代数的伴随表示
Nonexistence of iterative roots of PM functions
严格逐段单调函数迭代根的不存在性
Solvable Lie Algebras with Nilradical W_n
Nil-根基为W_n的可解李代数
A CRITERION FOR ROOTS IN MODULI NOT EXCEEDING ONE OF ALGEBRAIC EQUATIONS WITH COMPLEX COEFFICIENTS
复系数代数方程的根按模不超过一的判别法
The Bounds of Average Number of Real Roots for a Class of Random Algebraic Equations
一类随机代数方程实根的平均个数的界
Algorithm for Determining the Sign of Real Algebraic Numbers Based on the Maximum Root Method;
基于最大根方法的实代数数符号判定算法